Maharashtra State Board course SSC (English Medium) Class 10th Board Exam
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Some question and their alternative answer are given. Select the correct alternative.  Out of the dates given below which date constitutes a Pythagorean triplet ? - Geometry

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Question

Some question and their alternative answer are given. Select the correct alternative.

 Out of the dates given below which date constitutes a Pythagorean triplet ?

  • 15/08/17 

  • 16/08/16 

  • 3/5/17

  • 4/9/15

Solution

(A) In the triplet 15/08/17,
152 = 225, 82 = 64, 172 = 289 and 225 + 64 = 289

The square of the largest number is equal to the sum of the squares of the other two numbers.

∴ 15/08/17 is a pythagorean triplet.

(B) In the triplet 16/08/16,
162 = 256, 82 = 64, 162 = 256 and 256 + 64 = 320 ≠ 256

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ 16/08/16 is not a pythagorean triplet.

(C) In the triplet 3/5/17,
32 = 9, 52 = 25, 172 = 289 and 9 + 25 = 34 ≠ 289

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ 3/5/17 is not a pythagorean triplet.

(D) In the triplet 4/9/15,
42 = 16, 92 = 81, 152 = 225 and 16 + 81 = 97 ≠ 225

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ 4/9/15 is not a pythagorean triplet.

Hence, the correct option is 15/08/17 .

  Is there an error in this question or solution?

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 Balbharati Solution for Balbharati Class 10 Mathematics 2 Geometry (2018 to Current)
Chapter 2: Pythagoras Theorem
Problem Set 2 | Q: 1.3 | Page no. 43
Solution Some question and their alternative answer are given. Select the correct alternative.  Out of the dates given below which date constitutes a Pythagorean triplet ? Concept: Apollonius Theorem.
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